A wire loop moves at a constant speed into a constant and uniform magnetic field

Question

A wire loop moves at a constant speed into a constant and uniform magnetic field, as shown at right. There is no accumulation of net charge anywhere on the loop. a. Consider a positive point charge in the right wire of the loop. In what direction is the magnetic force on this test charge? If the force is zero, state so explicitly. b. Consider a vertical path from point P to point Q. Is the emf of the net force along this path positive, negative, or zero? Explain. c. Is there a non-zero electric field anywhere in this system? If so, what acts as its source? d. Consider the same path from point P to point Q. Is the electric potential difference from point P to point Q positive, negative, or zero? Explain.

Explanation / Answer

(a) If their is no accumulation of charge, then charge is at rest in the magnetic field and subsequently the magnetic

force on the charge will be zero.

(b) Considering Lenz's law, the induced current flows from the point Q to point P. So, of the net force along this path

will be positive.

(c) When the complete loop is moving in the magnetic field, then the induced emf in the loop is zero and the electric

field in the system is zero.

(d) As induced current flowing from point P to Q, so, the potential difference from point P to the point Q is positive.

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